%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 06:23:44 EDT 2022

% Result   : Theorem 0.21s 0.46s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   5 unt;   3 nHn;  12 RR)
%            Number of literals    :   25 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    line(skc1),
    file('GEO232+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ left_convergent_lines(u,v),
    file('GEO232+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ unequally_directed_lines(skc1,reverse_line(skc1)),
    file('GEO232+1.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ unequally_directed_lines(u,v)
    | unequally_directed_lines(v,w)
    | unequally_directed_lines(u,w) ),
    file('GEO232+1.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ line(u)
    | ~ line(v)
    | unequally_directed_lines(v,u)
    | unequally_directed_lines(v,reverse_line(u)) ),
    file('GEO232+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ unequally_directed_lines(u,v)
    | ~ unequally_directed_lines(u,reverse_line(v))
    | left_convergent_lines(u,v)
    | left_convergent_lines(u,reverse_line(v)) ),
    file('GEO232+1.p',unknown),
    [] ).

cnf(61,plain,
    ( ~ unequally_directed_lines(u,v)
    | ~ unequally_directed_lines(u,reverse_line(v)) ),
    inference(mrr,[status(thm)],[54,6]),
    [iquote('0:MRR:54.2,54.3,6.0,6.0')] ).

cnf(70,plain,
    ( ~ line(skc1)
    | ~ line(skc1)
    | unequally_directed_lines(skc1,skc1) ),
    inference(res,[status(thm),theory(equality)],[43,7]),
    [iquote('0:Res:43.3,7.0')] ).

cnf(75,plain,
    ( ~ unequally_directed_lines(u,skc1)
    | unequally_directed_lines(u,reverse_line(skc1)) ),
    inference(res,[status(thm),theory(equality)],[26,7]),
    [iquote('0:Res:26.2,7.0')] ).

cnf(76,plain,
    ~ unequally_directed_lines(u,skc1),
    inference(mrr,[status(thm)],[75,61]),
    [iquote('0:MRR:75.1,61.1')] ).

cnf(77,plain,
    ( ~ line(skc1)
    | unequally_directed_lines(skc1,skc1) ),
    inference(obv,[status(thm),theory(equality)],[70]),
    [iquote('0:Obv:70.0')] ).

cnf(78,plain,
    $false,
    inference(mrr,[status(thm)],[77,1,76]),
    [iquote('0:MRR:77.0,77.1,1.0,76.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.14  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 13:14:07 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  
% 0.21/0.46  SPASS V 3.9 
% 0.21/0.46  SPASS beiseite: Proof found.
% 0.21/0.46  % SZS status Theorem
% 0.21/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.46  SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.21/0.46  SPASS allocated 97772 KBytes.
% 0.21/0.46  SPASS spent	0:00:00.10 on the problem.
% 0.21/0.46  		0:00:00.04 for the input.
% 0.21/0.46  		0:00:00.04 for the FLOTTER CNF translation.
% 0.21/0.46  		0:00:00.00 for inferences.
% 0.21/0.46  		0:00:00.00 for the backtracking.
% 0.21/0.46  		0:00:00.00 for the reduction.
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  Here is a proof with depth 1, length 12 :
% 0.21/0.46  % SZS output start Refutation
% See solution above
% 0.21/0.46  Formulae used in the proof : con oag11 oag6 oag8 oag9
% 0.21/0.46  
%------------------------------------------------------------------------------